8959426560 has 648 divisors, whose sum is σ = 37295608896. Its totient is φ = 1981808640.

The previous prime is 8959426537. The next prime is 8959426579. The reversal of 8959426560 is 656249598.

It is a happy number.

8959426560 is a `hidden beast` number, since 8 + 9 + 59 + 4 + 26 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8959426497 and 8959426506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289013745 + ... + 289013775.

It is an arithmetic number, because the mean of its divisors is an integer number (57554952).

Almost surely, 2^8959426560 is an apocalyptic number.

8959426560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8959426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647804448).

8959426560 is an abundant number, since it is smaller than the sum of its proper divisors (28336182336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8959426560 is an equidigital number, since it uses as much as digits as its factorization.

8959426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 8959426560 is about 94654.2474482788. The cubic root of 8959426560 is about 2076.9533305121.

The spelling of 8959426560 in words is "eight billion, nine hundred fifty-nine million, four hundred twenty-six thousand, five hundred sixty".